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pro vyhledávání: '"Nolot, Vincent"'
Autor:
Nolot, Vincent
L'objet de cette thèse est d'étudier la théorie du transport optimal sur un espace de Wiener abstrait. Les résultats qui se trouvent dans quatre principales parties, portent :Sur la convexité de l'entropie relative. On prolongera des résultats
Externí odkaz:
http://www.theses.fr/2013DIJOS016/document
Autor:
Nolot, Vincent
In this paper we solve the Monge problem on infinite dimensional Hilbert space endowed with a suitable Gaussian measure, that satisfies the Lebesgue differentiation theorem.
Externí odkaz:
http://arxiv.org/abs/1403.4755
Autor:
Fang, Shizan, Nolot, Vincent
We will study variations in Sobolev spaces of optimal transport maps with the standard Gaussian measure as the reference measure. Some dimension free inequalities will be obtained. As application, we construct solutions to Monge-Ampere equations in f
Externí odkaz:
http://arxiv.org/abs/1207.4907
Autor:
Nolot, Vincent
In this paper we study two basic facts of optimal transportation on Wiener space W. Our first aim is to answer to the Monge Problem on the Wiener space endowed with the Sobolev type norm (k,gamma) to the power of p (cases p = 1 and p > 1 are consider
Externí odkaz:
http://arxiv.org/abs/1111.1938
Autor:
Fang, Shizan, Nolot, Vincent
Publikováno v:
In Journal of Functional Analysis 15 April 2014 266(8):5045-5084
Autor:
Fang, Shizan1 fang@u-bourgogne.fr, Nolot, Vincent1
Publikováno v:
Frontiers of Mathematics in China. Aug2015, Vol. 10 Issue 4, p715-732. 18p.
Autor:
Nolot, Vincent
Publikováno v:
General Mathematics [math.GM]. Université de Bourgogne, 2013. English. 〈NNT : 2013DIJOS016〉
General Mathematics [math.GM]. Université de Bourgogne, 2013. English. ⟨NNT : 2013DIJOS016⟩
General Mathematics [math.GM]. Université de Bourgogne, 2013. English. ⟨NNT : 2013DIJOS016⟩
The aim of this PhD is to study the optimal transportation theory in some abstract Wiener space. You can find the results in four main parts and they are aboutThe convexity of the relative entropy. We will extend the well known results in finite dime
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::e48af8299ed9f6bf819e71d8a6efb922
https://tel.archives-ouvertes.fr/tel-00932092
https://tel.archives-ouvertes.fr/tel-00932092